Pips August 31, 2025
Puzzle #14 · Sunday
This is the pips puzzle for August 31, 2025 — all three boards, free to play, with no subscription and no account. The easy board has 8 squares, 4 dominoes and 4 regions — 2 exact-sum and 2 all-equal regions.
By Sukie · Puzzle editor
Hints and answers for August 31, 2025
Stuck? Take it in stages. A nudge costs less than the full answer, and the answer is here if you want it — each diagram below is the verified solution our generator built this board from, using tiles drawn from the standard double-six domino set. On the looser boards other valid arrangements can exist too; any filling that covers every square and satisfies every region counts as solved.
easy board — reveal the solution
Start with the "= 0" region. It spreads 0 pips across 1 square, averaging 0.0 per square, so the halves that can legally sit there are limited before you have placed anything at all.
medium board — reveal the solution
Start with the "= 9" region. It spreads 9 pips across 2 squares, averaging 4.5 per square, so the halves that can legally sit there are limited before you have placed anything at all.
hard board — reveal the solution
Start with the "= 4" region. It spreads 4 pips across 2 squares, averaging 2.0 per square, so the halves that can legally sit there are limited before you have placed anything at all.
Where the information is on today's boards
Each board's regions, ordered from most constraining to least — which is the order worth working them in. Nothing here gives a value away, only how much each region can tell you before the rest of the board does.
easy
- = 0 — 1 square that must total exactly 0. The range a region this size can hold is 0 to 6, so this target sits at the extreme and forces every square in it.
- = 6 — 3 squares that must total exactly 6. The range a region this size can hold is 0 to 18, so that target rules out most fillings before you place anything.
- = — 2 squares that must all show the same value. Only a double can lie wholly inside it, and the whole region resolves to one number — so your only real decision is which.
- = — 2 squares that must all show the same value. Only a double can lie wholly inside it, and the whole region resolves to one number — so your only real decision is which.
medium
- = 10 — 2 squares that must total exactly 10. The range a region this size can hold is 0 to 12, so that target rules out most fillings before you place anything.
- = 9 — 2 squares that must total exactly 9. The range a region this size can hold is 0 to 12, so that target rules out most fillings before you place anything.
- = 14 — 3 squares that must total exactly 14. The range a region this size can hold is 0 to 18, so that target rules out most fillings before you place anything.
- < 3 — 2 squares totalling less than 3. A bound rather than a target, so it narrows without telling you a number.
- < 6 — 2 squares totalling less than 6. A bound rather than a target, so it narrows without telling you a number.
- > 2 — 3 squares totalling more than 2. Like the less-than badge it constrains without pinning, which is why it is worth leaving until later.
hard
- = 7 — 2 squares that must total exactly 7. The range a region this size can hold is 0 to 12, so that target rules out most fillings before you place anything.
- = 4 — 2 squares that must total exactly 4. The range a region this size can hold is 0 to 12, so that target rules out most fillings before you place anything.
- = 7 — 2 squares that must total exactly 7. The range a region this size can hold is 0 to 12, so that target rules out most fillings before you place anything.
- = 12 — 3 squares that must total exactly 12. The range a region this size can hold is 0 to 18, so that target rules out most fillings before you place anything.
- = 12 — 3 squares that must total exactly 12. The range a region this size can hold is 0 to 18, so that target rules out most fillings before you place anything.
- = 9 — 3 squares that must total exactly 9. The range a region this size can hold is 0 to 18, so that target rules out most fillings before you place anything.
- < 5 — 5 squares totalling less than 5. A bound rather than a target, so it narrows without telling you a number.
How this set compares with the rest of the archive
The easy board runs 50% loose regions against a typical 38%, so it is vaguer than most — fewer regions hand you a number outright and more of the work is deciding where tiles cannot go.
The medium board runs 50% loose regions against a typical 40%, so it is vaguer than most — fewer regions hand you a number outright and more of the work is deciding where tiles cannot go.
The hard board runs 14% loose regions against a typical 44%, so it is tighter than most, which usually means it falls faster once the first region is settled.
Its tightest sum target is 4, against a median of 8 across every board published here. A target that low forces blanks and ones into a small space, and is almost always the quickest way into the board.
The shape of the grid
The shape fills about 80% of its 5×5 bounding box, so there are a few notches in the outline. Squares along those notches have fewer neighbours than they look like they do — check them before you commit tiles elsewhere.
The easy board is a different animal: this is a distinctly irregular outline, filling only 67% of its 3×4 bounding box. Narrow arms are the danger: a square at the end of a one-wide corridor has exactly one possible partner, so if that partner gets covered the board becomes unsolvable regardless of what else you do.
Where this puzzle comes from
This board was not hand-designed and it was not copied from anywhere. The generator laid down a valid arrangement of 10 dominoes first, then divided the 20 squares into 7 regions and derived each region's rule from the values that had already landed in it. Because the solution existed before the constraints did, this board provably has one.
It was then loosened: rules were swapped for weaker ones, one at a time, keeping each swap only while the number of valid arrangements stayed inside the bound for this difficulty. That is why 1 of the hard board's 7 regions carry something other than an exact total.
Generation is seeded from the date, so August 31, 2025 produces this exact board on every device, permanently. Sharing this link always shows the same puzzle. More on the process in our editorial policy.
About this date’s boards
- Is the August 31, 2025 pips puzzle free to play?
- Yes. All three boards for this date are free, with no account and no subscription, and they stay available permanently.
- How many dominoes does the August 31, 2025 hard board use?
- 10 dominoes across 20 squares. Every tile in the tray must be used, and the count is always exactly half the number of squares.
- Where do the doubles go on this board?
- This tray holds 3 doubles (4-4, 5-5, 2-2). A double puts the same value on both of its squares, so it cannot sit inside an all-different region and it is the fastest way to overshoot a tight sum. Place them where the arithmetic has slack.
- Can I replay this puzzle later?
- Yes. Boards are generated deterministically from the date, so this URL always shows this exact puzzle. Your progress saves in your own browser, and Reset clears it whenever you want a fresh attempt.
The tiles you are dealt
The tray holds 3 doubles (4-4, 5-5, 2-2). Doubles contribute the same value twice, so they are the quickest way to overshoot an exact sum — place them where the arithmetic has room, not where it is tight.
The heaviest tile on the hard board is the 6-4 and the lightest is the 1-0. Those two are worth locating first: the heavy tile can only go where a sum has room, and the light one is often the only thing that fits a tight region.
What goes wrong on this one
With 1 of 7 regions only loosely bounded, this board resists arithmetic and rewards elimination. Work out where each tile cannot go before deciding where it should.
With 3 exact sums on the board, there is usually a square that only one tile in your tray can legally fill. Find that square first and the rest tends to cascade.
If you have genuinely stalled, undo back to the last tile you were confident about rather than reshuffling everything. Most dead ends on a board this size trace to one early placement made on a guess, and everything after it inherits the mistake.
The arithmetic check
Your tray carries 59 pips in total, and the exact-sum regions between them demand 51 across 15 squares. That leaves 8 pips to absorb elsewhere. Running that subtraction before you place anything tells you whether the unconstrained squares are going to be a dumping ground or a tight squeeze.
The same check on the medium board: your tray carries 59 pips in total, and the exact-sum regions between them demand 33 across 7 squares. That leaves 26 pips to absorb elsewhere. Running that subtraction before you place anything tells you whether the unconstrained squares are going to be a dumping ground or a tight squeeze.
Easy, medium and hard compared
These are three separate boards, not one board with hints removed, so playing all three on August 31, 2025 gives you three genuine attempts rather than three views of the same solution.
- easy
- 8 squares, 4 dominoes, 4 regions, 4 region boundaries. 50% of its regions carry something other than an exact total, and the widest region spans 3 squares.
- medium
- 14 squares, 7 dominoes, 6 regions, 9 region boundaries. 50% of its regions carry something other than an exact total, and the widest region spans 3 squares.
- hard
- 20 squares, 10 dominoes, 7 regions, 11 region boundaries. 14% of its regions carry something other than an exact total, and the widest region spans 5 squares.
Boundaries, not regions
There are 11 distinct region-to-region boundaries on this board, which is a lot for 7 regions. Almost every tile you place is going to land half in one region and half in another, so treating regions as separate sub-puzzles will not work here — think in pairs.
A domino can straddle two regions, and each half only has to satisfy the region it lands in. That is the single most common misreading of the format — people assume a tile must sit inside one region, which makes perfectly solvable boards look impossible. The rules page works through it with examples.
Board by board
easy
The easy board has 8 squares, 4 dominoes and 4 regions — 2 exact-sum and 2 all-equal regions.
Start with the "= 0" region. It spreads 0 pips across 1 square, averaging 0.0 per square, so the halves that can legally sit there are limited before you have placed anything at all.
medium
The medium board has 14 squares, 7 dominoes and 6 regions — 3 exact-sum, 2 less-than and 1 greater-than regions.
Start with the "= 9" region. It spreads 9 pips across 2 squares, averaging 4.5 per square, so the halves that can legally sit there are limited before you have placed anything at all.
hard
The hard board has 20 squares, 10 dominoes and 7 regions — 6 exact-sum and 1 less-than regions.
Start with the "= 4" region. It spreads 4 pips across 2 squares, averaging 2.0 per square, so the halves that can legally sit there are limited before you have placed anything at all.
More pips
- Pips archive — every date since the archive opened.
- Pips rules — what each region badge means.
- Practice mode — a fresh board whenever you want one.
- Today's pips puzzle